Finding the Fourth Proportional to 96,083.63, 144,214.04 and 48,731.95
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Solution
The fourth proportional to 96,083.63, 144,214.04 and 48,731.95 is: 73,142.86
Step by Step Solution
- Step 1: Write the proportion equation
96,083.63 : 144,214.04 = 48,731.95 : x - Step 2: Convert to fraction form
96,083.63/144,214.04 = 48,731.95/x - Step 3: Cross multiply
96,083.63x = 144,214.04 × 48,731.95 - Step 4: Simplify right side
96,083.63x = 7,027,831,386.58 - Step 5: Solve for x
x = 7,027,831,386.58/96,083.63 - Step 6: Final answer
x = 73,142.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.